SrTiO3 is a widely studied perovskite material due to its advantages as a buffer template which can be simply applied between a metal substrate tape and a superconducting layer in 2G high temperature superconducting (HTS) tapes. In this study, heteroepitaxial SrTiO3 thin films were deposited on textured Cu/33%Ni substrates using dip-coating in a precursor solution followed by drying and annealing under controlled oxygen partial pressures. The control of the ambient atmosphere during annealing is an important experimental issue in order to achieve thin films with high quality surface texture. We found that rather low oxygen partial pressures are necessary for obtaining the desired cube texture in the film surface. We could obtain thin films with finely covered homogeneous mono-coatings, with thicknesses of 80~100 nm. The films have been characterized in terms of texture and surface morphology, suggesting that they are promising templates for further deposition of YBCO superconducting layers.